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Chaos. 2013 Mar;23(1):013118. doi: 10.1063/1.4791589.

Generalized variable projective synchronization of time delayed systems.

Author information

  • 1Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Malaysia. santoban@gmail.com

Abstract

We study generalized variable projective synchronization between two unified time delayed systems with constant and modulated time delays. A novel Krasovskii-Lyapunov functional is constructed and a generalized sufficient condition for synchronization is derived analytically using the Lyapunov stability theory and adaptive techniques. The proposed scheme is valid for a system of n-numbers of first order delay differential equations. Finally, a new neural oscillator is considered as a numerical example to show the effectiveness of the proposed scheme.

PMID:
23556955
DOI:
10.1063/1.4791589
[PubMed - indexed for MEDLINE]
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